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On complete stable minimal surfaces in 4-manifolds with positive isotropic curvature
minimal surfaces 4-manifolds positive isotropic curvature
2010/11/12
We prove the nonexistence of stable immersed minimal surfaces uniformly conformally equivalent to the complex plane in any complete orientable four-dimensional Riemannian manifold with uniformly posi...
Let $(X,\mathcal{O}_X(1))$ be a polarized smooth projective variety over the complex numbers. Fix $\mathcal{D}\in \mathrm{coh}(X)$ and a nonnegative rational polynomial $\delta$. Using GIT we contruct...
In this paper we construct new examples of stable bundles of rank 2 of small degree with 4 sections on a smooth irreducible curve of maximal Clifford index. The corresponding Brill-Noether loci have n...
Intersection of stable and unstable manifolds for invariant Morse functions
unstable manifolds invariant Morse functions
2010/11/19
We study the structure of the smooth manifold which is defined as the intersection of a stable manifold and an unstable manifold for an invariant Morse-Smale function.
We prove that existence of a k-rational point can be detected by the stable A^1-homotopy category of S^1-spectra